Efficient noise-tolerant learning from statistical queries

作者: Michael Kearns

DOI: 10.1145/293347.293351

关键词: Theoretical computer scienceSample spaceComputer scienceProbably approximately correct learningAlgorithmic learning theoryMachine learningArtificial intelligenceOracleSemi-supervised learningProbabilistic logicComputational learning theoryLearnable Evolution Model

摘要: In this paper, we study the problem of learning in presence classification noise probabilistic model Valiant and its variants. order to identify class “robust” algorithms most general way, formalize a new but related from statistical queries. Intuitively, algorithm is forbidden examine individual examples unknown target function, given acess an oracle providing estimates probabilities over sample space random examples.One our main results shows that any functions learnable queries fact with Valiant's model, rate approaching information-theoretic barrier 1/2. We then demonstrate generality query showing practically every variants can also be learned (and thus noise). A notable exception statement parity functions, which prove not queries, for no noise-tolerant known.

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